Question
The following questions are based on the following table Scenario Probabilities Scenario Returns - Security A Scenario Returns - Security B Scenario Returns- Security C
The following questions are based on the following table
Scenario Probabilities | Scenario Returns - Security A | Scenario Returns - Security B | Scenario Returns- Security C |
.35 | 15% | 25% | -6% |
.25 | 10% | 12% | 0 |
.25 | 7% | 7% | -3% |
.15 | 5% | 1% | 4 |
1A) What are the Standard deviations for each of the three stocks (A, B, and C)?
a. | 14.69%, 80.83%, 12.19% | |
b. | 3.83%, 8.99%, 3.49% | |
c. | 9.87%, 14.50%, 5.32% | |
d. | 12.65%, 18.59%, 6.27% |
1B) What is the covariance for (A, B), (A, C), and (B, C)?
a. | 34.34, 10.69, 26.44 | |
b. | 1185, -369, -545 | |
c. | 34.34, -10.69, -26.44 | |
d. | 139.80, -46.35, -68.10 |
1C) What are the correlation coefficients for (A, B), (A, C), and (B, C)?
a. | 99, -80, -84 | |
b. | 98%, 88%, 85% | |
c. | .99, -.80, -.84 | |
d. | .99, .80, .80 |
1D) Assume that the expected returns for stocks B and C are 4% and 7.5%, and that their standard deviations are 14.5% and 5.32%. If their correlation is -.5, what is the expected return and the SD for a portfolio consisting of 40% Stock B and 60% Stock C?
a. | 6.1%, 5.03% | |
b. | 6.1%, 6.60% | |
c. | 6.1%, 3.34% | |
d. | 5.75%, 5.03% |
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